{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x21afb074a20>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x21afaf5fcf8>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00169992)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00114510)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00073596)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00042841)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00023385)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y75WTLJuyeayyk6JZVpTOn7adorO33+pyVIAxxvD41gqKM+OYOzHR6nJGLSzEwafn5/D2kUaON7ZbXY5Xafh7wMNvHyc+Kozb/WCu8rG498pJnOnq4/mdVVaXogLM1uPNHKlv5+6FuX4/qOtiPjU/m1CH8MQHp6wuxas0/MeooqmDTQfq+dyCHKLDrV2haKzm5SQyKyueR9+rwBkEN7yU5/xx60kSo8O4edYEq0sZs9S4SJYXp/Pszkpbr3uh4T9Gj289SahDuDuA2znPERHuvWoyJ5o6ePOI/W94Kc9oau9h84F6bpubFXDdO4fz6csncra7n41ldVaX4jUa/mPQ1TvAczsrWR7AvRvOt6I4nZTYCJ60+Vte5Tkv7a6m32n4pJ9NXT4WCyaNJysximd32rfPv4b/GKzdV0Nbdz+fCcA+zcMJC3FwZ0kWbxxuoKZVF3tRF2aM4entlcyZmEBeWqzV5XiMwyHcPi+L9481U3W60+pyvELDfwye3HaKqakxXD4pyepSPOquyyZigKeCZKSjGr09la0cbWjnzhL7XPWfc9vcLIyB53dWW12KV2j4j1Jp9Rn2VLbymcsnBnzvhvNlJ0VzdV4KT28/Rf+A0+pylB97ZkclUWEhrJrpP+vzekp2UjSLpoznuV2VtuwAoeE/Sk9uO0VkmINb5wR2987hfPryidS39fB6EIx0VKPT2dvPK3trWTkjg9hI/1ij2tPuKMmisqXLlss8aviPwtnuPl7eU81NMycQH23PH/obpqeSFhfBnz7UG79qaOv319He08+dJfa8AAJYXpRBbESoLW/8aviPwkt7aujsHeCzCwK/e+dwQkMcfLIkm7eONFLZYs8bXmpsntlRSe74aObb7J7XYFHhIayalfHRHzo70fAfhWe2V1KQEcfMrHirS/GqT8539WJ6dof9rnrU2FS2dLLtRAu3zc2y3T2v8902N4uuvgE2ltqrz7+G/wgdrG1jf/UZ7iyx/w99ZkIUV05N5vld1ba84aVGb83eGgA+MSfT4kq8b15OIlmJUbzsPma70PAfoWd3VBEe4uATs+3/Qw9w+7wsqlu7+OBEs9WlKD9hjOGFXVVclptIdlK01eV4nYiwevYE3j3aSOPZHqvL8RiPhL+ILBeRwyJSLiIPDvH9z4tIo4jscX/c54n9+lpvv5OX9lSzuDCVxHHhVpfjE8uK0omNDOU5nexNuZVWt3GssYNbbNrTbSirZ2fiNK6BnXYx5vAXkRDgl8AKoBD4lIgUDrHp08aY2e6PR8a6Xyu8fqielo5e7rDhgJbhRIaFcNOsCba84aVG58Xd1YSHOLhxhv369g8nPy2Wgow4Xt6j4T/YfKDcGHPcGNMLPAWs9sDr+p1ndlSRHhfJ1XkpVpfiU7fPc93wenVfrdWlKIv1DzhZs7eG66en2rab83BWz57AnspWKpo6rC7FIzwR/pnA4O4gVe7nznebiOwTkedEJOAunevbunnzcAO3zs0M2AVbRmtOdgKTU8Zp04/i3fImmtp7uGVucNzzGuzmWRMQ+f83uwOdJ8J/qCQ8v2vIK0CuMWYm8Brw2JAvJHK/iOwQkR2NjY0eKM1zXthVjdMQVE0+54i4Jrn6sKLFNlc9anRe3F1NfFQY104Lrne/ABMSopifm8RLe6oxJvB7v3ki/KuAwYmYBXzsT6MxptkYc+42+f8C84Z6IWPMw8aYEmNMSUqK//xwnevdMC8nkUnJ46wuxxK3zsnCIfDCLr36D1advf1sKqvnxpkZRITaY97+kVo9O5PjjR2U1bRZXcqYeSL8twN5IjJJRMKBu4A1gzcQkcF3hm4GDnpgvz5TVtPG0YZ2bgmCPs3DSY+PZNGUZF7aU2OLqx41clsONtDVN2CL1bpGa0VxOqEOYa0N7n+NOfyNMf3AV4CNuEL9GWNMmYh8X0Rudm/2VREpE5G9wFeBz491v750rneDHWcuHIlPzMnkVEsnu061Wl2KssCavTWkxUVwWa59p3O4mMRx4VwxNZm1+wL/Isgj/fyNMa8aY/KNMVOMMT90P/ddY8wa99ffMsYUGWNmGWOuM8Yc8sR+faF/wMnLe2q4bnoKCdHB0bd/OMuK0ogIdfDyHnvOb66Gd6arj7cON3LjjAlB1+HhfDfOzKDqdBf7qs5YXcqY6Ajfi3jvWLOrd0MQN/mcExsZxuLCNNbuq6VP5/kPKpvK6ugdcHLz7OBt8jlnWWE6YSHCuv2B3fSj4X8RL+6qIj4qjOump1pdil+4ZXYmLR29vHPUv3pjKe96ZV8t2UlRzLL5ZIaXIj46jKvyUli3rzagm340/C+go6efjUHeu+F8V+enkBAdxou77dHXWV1cc3sP75U3cdPMCbafzPBSrZqZQXVrF7srA/f+l4b/BWwsq6Orb0CbfAYJD3Xd+N58QKd7CBbrS+sYcBpuCuJePudbXJhGeIiDtXsDt+lHw/8CXtpTQ1ZiFCU5iVaX4lc+MTuT7j4nG2w2v7ka2pq9NUxNjWF6eqzVpfiNuMgwrpmWwqv7awN2unMN/2Gce6vrGtKtb3UHOze/uV2Guavh1bd1s72ihVUzM/T34DyrZmZQ19bNrlOnrS5lVDT8h/Hq/loGnEZ7NwxBRFg1cwLvlTfR0tFrdTnKi9bvr8UYgn6My1BuKHA1/awP0HfAGv7DWLO3hvy0GKanx1ldil9aNTODAafRph+be3V/HflpMUxN1Saf88VEhHJVXjIbSusCstePhv8Qqlu72F5xmptm6lX/cIomxDEpeZytFrdQH9fQ1s32ky2sDKJ5+0dqeXE61a1dlFYH3lw/Gv5DWOcONO3dMDxX008GHxxvttXSdur/W19ahzEE1aItI7W4II0Qh7C+NPB6/Wj4D2HN3hpmZcWTG6QzeF6qVTMn4DQE5A++urh1+2vJS40hL02bfIaTOC6chZPHB2TTj4b/eY43tlNa3aZX/ZdgWnoseakxAd3XWQ2twd3LR5t8Lm5ZcTrHmzo42tBudSkjouF/njV7axBxXdWqi1s1cwLbT7ZQd6bb6lKUB20oczf5aC+fi1pWlIYIrN8fWJ0fNPwHMcawdl8t83OTSI+PtLqcgLBqVgbGEPCTXKmPW7evlqmpMeRrk89FpcZGUpKTGHDNnxr+gxyuP0t5QzurtMnnkk1JiaEwI+6jm+Qq8DWe7eFDbfIZkWVF6RyqOxtQy5xq+A+ybl8tDoHlRelWlxJQVs5IZ9epVm36sYlNB1xNPitn6O/BpVpe7Pq/2lgWOE0/Gv5uxhjW7atl4ZTxpMRGWF1OQFnhvkLcEGBve9XQNpTWkTs+mmna5HPJshKjKZoQx+YD9VaXcsk0/N0O1LZxvKmDG2dok89ITUmJYVpaLK8G2A0v9ZdaO3vZeqyZ5cU6l89ILS1MZ+ep0wEz7kXD323dvlpCHPLR2zc1MitmpLP9ZAsNbdr0E8heO9hAv9OwQn8PRmxpURrGwJaDgXH1r+GPu8lnfy2LpownaVxwr9M7WjfOcPX6CaQ2T/WXNpTWMiE+kpm6YteITU+PJTspKmCafjT8gdLqNk42d+rMhWOQlxbL1NQYbfoJYO09/bx9tIllxena5DMKIsKSgnTeKW+iIwAWOtLwB9buryHUISzTXj5jsrI4nW0nXAveq8DzxqEGevudrCjWi6DRWlqURm+/k7eP+P8a10Ef/sYYXt1fyxVTk0mI1iafsVgxIwOngU1lgfG2V33chtI6kmMimKcr141aSU4iidFhbAqApp+gD//S6jYqW7p0GLsHTE+PZVLyuIAb6aigu2+ANw43sLTINUulGp3QEAc3FKSx5WA9fQNOq8u5oKAP/1dLawl1CEsL06wuJeCJuHpLbT3WTGunrvAVSN452kRn74AOcPSApYVptHX38+GJFqtLuaCgDn9jDOv3uwZ2aZOPZywvSqffaXjtYIPVpagR2FhWR2xkKAsmj7e6lIB3VV4KkWEOv+/1E9Thf6C2jYrmTl2swoNmZsWTmRClo30DSP+Aky0H61lckEZ4aFBHgkdEhYdw5dQUNh+o9+s5/oP6TK/fX0eIQ1iqb3U9RsTVa+rto020B0B3NwUfVrRwurOPZUXa9OkpSwvTqG7t4kCt/y7vGLThf66Xz4LJSTqwy8OWF6fT2+/kjUPa9BMINpXVExHq4Or8FKtLsY3rpqciAq8d8N/fgaAN/8P1Zzne1KF9mr1gXk4iyTERbCjVAV/+zhjDprI6rs5PITo81OpybCMlNoK5ExPZfNB/fweCNvxf3V+HQ9CBXV4Q4hCWFaXxxuEGuvsGrC5HXcD+6jPUnOnW3wMvWFKYRml1GzWtXVaXMqSgDf/1+2u5LDdJp2/2kuXF6XT2DgTESMdgtrHMdd9rcUGq1aXYzuIC1z2U1/x0oregDP/yhrMcbWjXlYq8aMHk8cRHhWnTj5/bWFbP5ZOStKuzF0xNjWFy8ji/7fIZlOF/LpD0ra73hIU4WFyQxmsBMNIxWB1rbKe8oV1/D7xocWEaHxxvpq27z+pS/kJQhv/60jrmTkzQRdq9bHlxOm3d/XxwvNnqUtQQzs3BtERHt3vNksI0+gYMbx32v+bPoAv/U82dlNW0aS8fH7gqL5no8BCd499PbSyrY2ZWPBMSoqwuxbbmTkwkaVy4X7b7B134byhzjTzVFbu8LzIshGunpbCxrB6n039HOgaj+rZu9lS2apOPl4U4hOunp/LGoQa/a/4MuvBfX1pHcWYc2UnRVpcSFJYVpdN4tofdlaetLkUNcu4mpE5o6H2LC1Jp6+5ne4V/TfQWVOFfe6aL3adatcnHh66bnkpYiLBR5/j3KxvL6piUPI6pqTFWl2J7V+WlEB7i8LvRvh4JfxFZLiKHRaRcRB4c4vsRIvK0+/vbRCTXE/sdqY3uXj7a5OM7cZFhXDE1mQ2ldX49yVUwOdPVx9ZjzSwtStPlGn1gXEQoi6aO57WD/jXR25jDX0RCgF8CK4BC4FMiUnjeZvcCp40xU4H/An481v2OxvrSOvLTYpiSolc7vrS8KJ1TLZ0crD1rdSkKePNwA/1Ow9JCvQjylcUFaZxq6aS8od3qUj7iiSv/+UC5Mea4MaYXeApYfd42q4HH3F8/B9wgPr7kaDzbw/aKFl2swgKLC9NwCNrrx09sKqsnJTaCOdkJVpcSNG5wj6De7Ee9fjwR/plA5aDHVe7nhtzGGNMPnAF8umrEpgN1OI1rnVnlW8kxEZTkJuloXz/Q3TfAm4cbWFKYhkOXa/SZjPgoZmTG85ofjfb1RPgP9RN0fsPWpWyDiNwvIjtEZEdjo2cHRWwodd3gmp4e69HXVZdmWVE6h+vPUtHUYXUpQW3rsWY6egd0YJcFFheksbuylcazPVaXAngm/KuA7EGPs4Ca4bYRkVAgHviLfk/GmIeNMSXGmJKUFM/NLX66o5f3jzWzvDhdb3BZ5FyXQm36sdbGsjpiIkJZNEWXa/S1xYWpGAOvH/KPq39PhP92IE9EJolIOHAXsOa8bdYA97i/vh143fjwtvfmg/UMOA0rtYunZbKToimaEKfhb6EBp+G1g/VcNz2ViNAQq8sJOoUZcUyIj/Sb9a3HHP7uNvyvABuBg8AzxpgyEfm+iNzs3ux3wHgRKQf+DviL7qDetH5/LVmJURRnxvlyt+o8y4rS2XWqlYa2bqtLCUq7T52mqb1XB3ZZRES4oSCNd482+cU6Fx7p52+MedUYk2+MmWKM+aH7ue8aY9a4v+42xtxhjJlqjJlvjDnuif1eirbuPt4tb2KFNvlY7tz4ik1+dNMrmGwsqyM8xMG103S5RqssLkyjq2+A9481WV2K/Uf4bjlYT9+AYbk2+VguLzWGScnjtOnHAsYYNh2oZ9HU8cRGhlldTtBaMDmJceEhftH0Y/vwX7+/jvS4SO3T7AdEhKVFaWw91syZLv+b39zOjtS3c7K5Uwd2WSwiNISr81PYctD6yQ5tHf4dPf28daSR5cXp2qfZTywrSqffafymx0Ow2FhWh4irx4my1g0FadS39VBac8bSOmwd/q8faqCn38kKncvHb8zOSiA1NoKNpRr+vrTpQB1zshNIjdUFjKx23bQUHILlTT+2Dv8NpXUfjS5V/sHhcDX9vHWk0S/agiMbAAAUAUlEQVR6PASD6tYuSqvbdO5+PzE+JoJ5OYmWj/a1bfh39Q7w+qEGlhenEaJNPn5leVEGXX0DvH3E/5a2s6NN7hvsSzX8/cYNBWkcqG2jprXLshpsG/5vHWmgq29AB3b5ocsnJxEfFcYG7fXjExvLXLPZTkoeZ3Upym1xgWusxRYLJ3qzbfi/ur+OpHHhzJ+kTT7+JizEwQ0Fqbx2oN7vlrazm5aOXj480aJNPn5mSso4JiWPs3TMiy3Dv7tvgC0H61lWlEZoiC0PMeAtL0qnrbufbcf9a2k7u3ntYD1Og3bx9DMiwuKCVD443szZbmu6PdsyGd852kRH74AO7PJjV+enEBUWwoayWqtLsbVNZXVkJujUJv5ocUEafQOGd45aM9rXluG/fn8t8VFhOnOhH4sMC+HaaSlsKrN+sItddfT08/bRJpYU6nKN/mheTiIJ0WFstqjpx3bh39vvZPPBepYUphGmTT5+bXlxOg1ne9hd2Wp1Kbb01pFGevud2t7vp0JDHFw/PZXXDzXQb8G9L9ulY3NHDzOz4rlxpjb5+LvrpqcSFiI614+XbCyrIzE6jMtyE60uRQ1jSUEaZ7r62HHytM/3bbvwz4iP4sn7FnDdNB3G7u/iIsNYNCWZjWV1+HB5h6DQ2+/k9UMNLC7QTg/+7Kr8FMJDHJYM+NKfCmWp5cXpnGzu5GDtWatLsZWtx5s5292vTT5+LiYilEVTx7P5YL3PL4A0/JWllhSm4RB0wJeHbSyrIzo8hCvzkq0uRV3E4oI0TjZ3Ut7Q7tP9avgrSyXHRHBZbhIbSrXLp6cMOA2byuq5bloqkWG6XKO/u6HA1US92cejfTX8leVWFKdzpL6dY42+vfKxK9dyjT0s09lsA0JGfBQzMuN93uVTw19Z7lxIbSjVph9P2FDqWq7xOl2uMWAsKUxjT2UrDWd9t761hr+yXEZ8FLOzEzT8PcAYw4ayOq7MS9blGgPI0qI0jIEtPpzjX8Nf+YUVxensrz5DZUun1aUEtLKaNqpOd7Fce/kElGlpsWQnRX00/bYvaPgrv7Dc3fSjA77GZmNZHQ6BxYVpVpeiRkBEWFKQznvHmuno6ffJPjX8lV/IGT+Ogow4bfoZow2ldVw+aTxJ48KtLkWN0NKiNHr7nT5b5EjDX/mN5UXp7Dx1mvo23930spPyhnaONrR/9C5KBZYSH0/0puGv/MbKGekYo71+RmvjR8s1apNPIDo30dsWH030puGv/EZeWix5qTGs268DvkZjfWktcyYmkBEfZXUpapSWFromevuwwvuLHGn4K7+yckYG2ytaaNCmnxE51dxJaXWbrlkd4K7OTyEi1OGTph8Nf+VXbpyZ4Wr60V4/I7LePT2GtvcHtujwUK6cmswHPljeNNTre1BqBPLPNf3sq+XuhblWlxMwXi2tY2ZWPNlJ0VaXosboR7fOICHa+7219Mpf+Z2VMzL4sKLFp0PdA1nV6U72VrayQpt8bCE1LpLwUO9Hs4a/8jvnmn42aq+fS3Kud9QKbfJRI6Dhr/xOflosU7XXzyVbX1pHYUYcucnjrC5FBRANf+WXVs7I4MMT2vRzMXVnutl58jQrZ+hVvxoZDX/ll26amYHTwKv79Or/Qs718lkxQ9v71cho+Cu/lJcWy/T0WNbsrbG6FL+2dl8t09NjmZISY3UpKsBo+Cu/dfPsCew61arTPA+j6nQnO0+e5qZZE6wuRQUgDX/lt26a6Qq1V/bp1f9Q1rqbxM79Pyk1Ehr+ym9lJ0Uzd2ICa/Zo+A9lzZ4aZmcnMHG8DuxSI6fhr/za6tmZHKo7y5H6s1aX4lfKG9o5UNvGzdrko0ZpTOEvIkkisllEjro/Jw6z3YCI7HF/rBnLPlVwWTkjA4egV//neWVvDSKuAXFKjcZYr/wfBLYYY/KALe7HQ+kyxsx2f9w8xn2qIJISG8EVU5NZs7cGY4zV5fgFYwyv7KthwaTxpMVFWl2OClBjDf/VwGPurx8DPjHG11PqL9w0awKnWjrZU9lqdSl+oaymjeONHdw8W5t81OiNNfzTjDG1AO7PqcNsFykiO0TkAxEZ9g+EiNzv3m5HY6Nv1rFU/m95cToRoQ5e3F1tdSl+4ZW9NYQ6hOVFOqpXjd5Fw19EXhOR0iE+Vo9gPxONMSXAp4GficiUoTYyxjxsjCkxxpSkpKSM4OWVncVFhrGkMI1X9tbQ2+/95e382YDT8PKeGq7JTyFRF2lXY3DR8DfGLDbGFA/x8TJQLyIZAO7PDcO8Ro3783HgTWCOx45ABYXb5mZxurOPNw8P+SMWND443kxdWze3zs2yuhQV4Mba7LMGuMf99T3Ay+dvICKJIhLh/joZuAI4MMb9qiBzVV4yyTHhQd/08/yuKmIjQ7mhYLgWVqUuzVjD/yFgiYgcBZa4HyMiJSLyiHubAmCHiOwF3gAeMsZo+KsRCQ1xcPOsTLYcbOBMZ5/V5Viis7efDaV13Dgjg8iwEKvLUQFuTOFvjGk2xtxgjMlzf25xP7/DGHOf++v3jTEzjDGz3J9/54nCVfC5dW4mvQNO1u4Pzj7/m8rq6ewd4JY5mVaXomxAR/iqgFE0IY78tBhe2BWcTT8v7K4mMyGKy3KTrC5F2YCGvwoYIsKtc7PYefI0FU0dVpfjUw1t3bx7tJFb5mTicIjV5Sgb0PBXAeUTszNxCDy3s8rqUnzq5T01OA3cMlebfJRnaPirgJIeH8m101J5dmcl/QPB0effGMNzO6uYlZ2gi7Yoj9HwVwHnk5dlU9/Ww1tHgmMU+N6qMxyuP8snS7KtLkXZiIa/CjjXT08lOSaCp7ZXWl2KTzy9vZKosBBumqUzeCrP0fBXAScsxMHt87J4/VADDW3dVpfjVZ29/byyt4aVMzKIjQyzuhxlIxr+KiDdWZLFgNPw3C573/hdt6+W9p5+7pqvTT7KszT8VUCanBLD/ElJPLO90tbz/D+zo5LJKeMoyRlynSSlRk3DXwWsuy7LpqK5kw+Ot1hdileUN7SzveI0d5ZkI6J9+5VnafirgLVyRgbxUWE88cFJq0vximd3VBLqEG7Vvv3KCzT8VcCKDAvhzpIsNpbVUXfGXjd+u/sGeHZnFTcUpJIaq0s1Ks/T8FcB7bMLchgwhj99eMrqUjxq3b5aWjp6uXthrtWlKJvS8FcBLWf8OK6blsqftp2y1Spfj2+tYErKOBZNGW91KcqmNPxVwPvcwhya2nvYUFZndSkesaeylb1VZ7hnUa7e6FVeo+GvAt41eSnkjI/m8fcrrC7FIx7fWkFMRKgu1ai8SsNfBTyHQ/jcghx2nDxNWc0Zq8sZk+b2HtbureXWuZnERIRaXY6yMQ1/ZQt3zMsmKiyE3717wupSxuSp7ZX0Dji5e2GO1aUom9PwV7YQHx3GXfOzWbOnhurWLqvLGZXefid/3HqSK6aOZ2pqrNXlKJvT8Fe2cd9VkwF45J3jFlcyOi/tqaaurZsvuo9DKW/S8Fe2kZkQxc2zJ/DUh5Wc7ui1upwRGXAafvPWMQoz4rgmP8XqclQQ0PBXtvLANVPo6hvgsa0VVpcyIpsP1HG8sYMvXztFu3cqn9DwV7aSnxbL4oJUHnu/gs7efqvLuSTGGH715jFyxkezcoYu2KJ8Q8Nf2c4D10zhdGcfT30YGCt9vX+smX1VZ/jS1VMIcehVv/INDX9lOyW5SSyYnMSv3iyno8f/r/5/9WY5qbER3DZPZ+9UvqPhr2zpm8um09Tey+/f8+9+/+8fa+K98mbuv3oyEaEhVpejgoiGv7KleTmJLC5I47dvH6e10z97/hhj+PGGw0yIj+SzC3RQl/ItDX9lW99cNo32nn5+/dYxq0sZ0obSOvZWtvK3S/KJDNOrfuVbGv7Ktqalx3LL7Ez+8F4F9W3+tdhL/4CTn2w6TF5qDLfpBG7KAhr+yta+viQfpzH8dNMRq0v5mGd3VnG8sYNvLpumPXyUJTT8la1lJ0Xz+UW5PL2jkl2nTltdDgDtPf387LUjzJ2YwJLCNKvLUUFKw1/Z3tcW55MeF8l3Xiqlf8D61b7+Y+NhGs728M+rCnU0r7KMhr+yvZiIUL6zqpCymjae+OCkpbXsqWzlsa0VfG5BDnMnJlpaiwpuGv4qKKyckc5Vecn856YjNJy15uZv34CTb72wn7TYSL65bJolNSh1joa/CgoiwvduLqKn38n31hzAGOPzGn737gkO1rbxvdVFxEaG+Xz/Sg2m4a+CxuSUGL62OI91+2t5bmeVT/d9uO4sP3vtCEsL01hWlO7TfSs1FA1/FVQeuGYKCyYn8S9ryjjR1OGTfbb39PPlJ3cSGxnGD24p9sk+lboYDX8VVEIcwn99cjZhIQ6+9tRuevu92/vHGMM/Pr+PiqYO/udTc0iNjfTq/pS6VBr+KuhkxEfx49tmsq/qDP++4ZBX9/X41pOs21fLN5dNZ8Hk8V7dl1IjMabwF5E7RKRMRJwiUnKB7ZaLyGERKReRB8eyT6U8YXlxOvcszOGRd094bebPNw838IN1B7hheipfulrX5VX+ZaxX/qXArcDbw20gIiHAL4EVQCHwKREpHON+lRqz795UxLKiNL6/9gBr9tZ49LXfK2/i/j/uJD8tlp9+cjYOncJB+Zkxhb8x5qAx5vBFNpsPlBtjjhtjeoGngNVj2a9SnhDiEH5+1xwuy03iG8/s4Z2jjR553W3Hm7n3se1MTh7HH++9nPgo7dap/I8v2vwzgcHr6VW5n/sLInK/iOwQkR2NjZ75RVTqQiLDQvjfu0uYkhLDvX/YwTPbx7b04/r9tfzVH7aTlRjNE/ddTtK4cA9VqpRnXTT8ReQ1ESkd4uNSr96Her875AgbY8zDxpgSY0xJSkrKJb68UmMTHxXGn7+4gPmTkviH5/fxnZdKR9wLqLtvgH9+aT9ffnIXU1Nj+NN9l5McE+GlipUau9CLbWCMWTzGfVQB2YMeZwGebWBVaowSx4Xzhy9cxr9vPMzDbx9nb1Ur31g6javzki84+ZoxhrePNvHQ+kMcrG3j/qsn8/dLpxEeqh3plH+7aPh7wHYgT0QmAdXAXcCnfbBfpUYkNMTBt1cWMDMrnh+uO8g9j37IrKx4/urKSRRnxpOTFE1oiIPefidVpzvZdqKF3793giP17aTFRfD7z1/GddNTrT4MpS6JjGWOExG5BfgfIAVoBfYYY5aJyATgEWPMSvd2K4GfASHAo8aYH17stUtKSsyOHTtGXZtSY9Hb7+T5XVX86s1yKlu6AAgPcTA+Jpz6tm6c7l+bwow47rtqEqtmTtCrfeUXRGSnMWbYrvcfbWfFBFeXQsNf+YP+ASdlNW0cqT9LeUM7jWd7yEqKJnd8NHmpsRRnxumc/MqvXGr4+6LZR6mAFRriYFZ2ArOyE6wuRSmP0vepSikVhDT8lVIqCGn4K6VUENLwV0qpIKThr5RSQUjDXymlgpCGv1JKBSENf6WUCkJ+O8JXRBqBk2N4iWSgyUPlBIpgPGYIzuMOxmOG4DzukR5zjjHmotMi+234j5WI7LiUIc52EozHDMF53MF4zBCcx+2tY9ZmH6WUCkIa/kopFYTsHP4PW12ABYLxmCE4jzsYjxmC87i9csy2bfNXSik1PDtf+SullBqGhr9SSgUh24W/iCwXkcMiUi4iD1pdj7eISLaIvCEiB0WkTES+5n4+SUQ2i8hR9+dEq2v1NBEJEZHdIrLW/XiSiGxzH/PTIhJudY2eJiIJIvKciBxyn/OFdj/XIvJ19892qYj8WUQi7XiuReRREWkQkdJBzw15bsXlv935tk9E5o52v7YKfxEJAX4JrAAKgU+JSKG1VXlNP/ANY0wBsAD4G/exPghsMcbkAVvcj+3ma8DBQY9/DPyX+5hPA/daUpV3/RzYYIyZDszCdfy2Pdcikgl8FSgxxhTjWv/7Lux5rv8ALD/vueHO7Qogz/1xP/Dr0e7UVuEPzAfKjTHHjTG9wFPAaotr8gpjTK0xZpf767O4wiAT1/E+5t7sMeAT1lToHSKSBdwIPOJ+LMD1wHPuTex4zHHA1cDvAIwxvcaYVmx+rnEtMxslIqFANFCLDc+1MeZtoOW8p4c7t6uBx43LB0CCiGSMZr92C/9MoHLQ4yr3c7YmIrnAHGAbkGaMqQXXHwgg1brKvOJnwD8ATvfj8UCrMabf/diO53wy0Aj83t3c9YiIjMPG59oYUw38B3AKV+ifAXZi/3N9znDn1mMZZ7fwlyGes3VfVhGJAZ4H/tYY02Z1Pd4kIquABmPMzsFPD7Gp3c55KDAX+LUxZg7QgY2aeIbibuNeDUwCJgDjcDV5nM9u5/piPPbzbrfwrwKyBz3OAmosqsXrRCQMV/A/aYx5wf10/bm3ge7PDVbV5wVXADeLSAWuJr3rcb0TSHA3DYA9z3kVUGWM2eZ+/ByuPwZ2PteLgRPGmEZjTB/wArAI+5/rc4Y7tx7LOLuF/3Ygz90jIBzXDaI1FtfkFe627t8BB40xPx30rTXAPe6v7wFe9nVt3mKM+ZYxJssYk4vr3L5ujPkM8AZwu3szWx0zgDGmDqgUkWnup24ADmDjc42ruWeBiES7f9bPHbOtz/Ugw53bNcDd7l4/C4Az55qHRswYY6sPYCVwBDgG/JPV9XjxOK/E9XZvH7DH/bESVxv4FuCo+3OS1bV66fivBda6v54MfAiUA88CEVbX54XjnQ3scJ/vl4BEu59r4HvAIaAU+CMQYcdzDfwZ132NPlxX9vcOd25xNfv80p1v+3H1hhrVfnV6B6WUCkJ2a/ZRSil1CTT8lVIqCGn4K6VUENLwV0qpIKThr5RSQUjDXymlgpCGv1JKBaH/B/w8yif7gndDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00012432)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,\"\\t MSE\",avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result' .format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "num_catches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('预测结果'.format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
